Dynamics of the Modified n-Degree Lorenz System
نویسندگان
چکیده
منابع مشابه
a study on construction of iranian life tables: the case study of modified brass logit system
چکیده ندارد.
15 صفحه اولBifurcation analysis and dynamics of a Lorenz –type dynamical system
./files/site1/files/0Abstract1.pdfIn this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of each bifurcation point analytically and numerically. In particular we derived sufficient conditions for existence of Hopf and Pitchfork bifurcati...
متن کاملDynamics of a Simplified Lorenz System
A sim p lifi e d L o re n z syste m w ith o n e b ifurcatio n p aram e te r is in v e stig ate d b y a d e taile d th e o re tical an alysis as w e ll as d yn am ic sim ulatio n , in c lud in g so m e b asic d yn am ical p ro p e rtie s, L yap un o v e x p o n e n t sp e c tra, frac tal d im e n sio n , b ifurcatio n s an d ro ute s to ch ao s. T h e re sults sh o w th at th is syste m h as c o...
متن کاملExperimental Observations of Strange Attractors in the Modified Lorenz System
This paper greatly extends the recently published experimental results obtained by means of the chaotic oscillator, which represents a modified Lorenz dynamical system. Very good final agreement between numerical analysis and practical measurements is prooved via a gallery of the oscilloscope screenshots. 1. Mathematical model First of all, let consider the following set of differential equatio...
متن کاملHomoclinic and heteroclinic orbits in a modified Lorenz system
This paper presents a mathematically rigorous proof for the existence of chaos in a modified Lorenz system using the theory of Shil’nikov bifurcations of homoclinic and heteroclinic orbits. Together with its dynamical behaviors, which have been extensively studied, the chaotic dynamics of the modified Lorenz system are now much better understood, providing a rigorous theoretic foundation to sup...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics and Nonlinear Sciences
سال: 2019
ISSN: 2444-8656
DOI: 10.2478/amns.2019.2.00028